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Finding the Third Proportional to 189,954 and 405,331.50

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Solution

The third proportional to 189,954 and 405,331.50 is: 864,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,954 : 405,331.50 = 405,331.50 : x
  2. Step 2: Convert to fraction form
    189,954/405,331.50 = 405,331.50/x
  3. Step 3: Cross multiply
    189,954x = 405,331.50 × 405,331.50
  4. Step 4: Simplify right side
    189,954x = 164,293,624,892.25
  5. Step 5: Solve for x
    x = 164,293,624,892.25/189,954
  6. Step 6: Final answer
    x = 864,912.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.